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Finding the Fourth Proportional to 476,102.78, 714,143.10 and 121,117.04

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Solution

The fourth proportional to 476,102.78, 714,143.10 and 121,117.04 is: 181,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,102.78 : 714,143.10 = 121,117.04 : x
  2. Step 2: Convert to fraction form
    476,102.78/714,143.10 = 121,117.04/x
  3. Step 3: Cross multiply
    476,102.78x = 714,143.10 × 121,117.04
  4. Step 4: Simplify right side
    476,102.78x = 86,494,898,408.42
  5. Step 5: Solve for x
    x = 86,494,898,408.42/476,102.78
  6. Step 6: Final answer
    x = 181,672.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.